Theorems · Theorem · category theory

CategoryTheory.Limits.IsColimit.nonempty_isColimit_iff_isIso_desc

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} C]
  {F : CategoryTheory.Functor J C} {s t : CategoryTheory.Limits.Cocone F} (hs : CategoryTheory.Limits.IsColimit s),
  Nonempty (CategoryTheory.Limits.IsColimit t) ↔ CategoryTheory.IsIso (hs.desc t)

Defined in

Mathlib.CategoryTheory.Limits.IsLimit

Cited by

2 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category